## A presentation for the subgroup of compressed conjugating automorphisms of a partially commutative group.(English)Zbl 1443.20060

Summary: Let $$G_\Gamma$$ be a partially commutative group. We find a finite presentation for the subgroup $$\mathrm{Conj}_V (G_\Gamma)$$ of compressed vertex conjugating automorphisms of the automorphism group $$\operatorname{Aut} (G_\Gamma)$$ of G. We have written GAP packages which compute presentations for $$\operatorname{Aut} (G_\Gamma)$$ and its subgroups $$\mathrm{Conj}(G_\Gamma)$$ and $$\mathrm{Conj}_V(G_\Gamma )$$.

### MSC:

 20F28 Automorphism groups of groups 20F05 Generators, relations, and presentations of groups 20F36 Braid groups; Artin groups

### Software:

GAP; AutParCommGrp
Full Text:

### References:

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